257778960 has 40 divisors (see below), whose sum is σ = 799115520. Its totient is φ = 68740992.

The previous prime is 257778959. The next prime is 257779001. The reversal of 257778960 is 69877752.

257778960 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (40).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 536800 + ... + 537279.

It is an arithmetic number, because the mean of its divisors is an integer number (19977888).

Almost surely, 2^257778960 is an apocalyptic number.

257778960 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

257778960 is an abundant number, since it is smaller than the sum of its proper divisors (541336560).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

257778960 is a wasteful number, since it uses less digits than its factorization.

257778960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1074095 (or 1074089 counting only the distinct ones).

The product of its (nonzero) digits is 1481760, while the sum is 51.

The square root of 257778960 is about 16055.4962551769. The cubic root of 257778960 is about 636.4278202176.

The spelling of 257778960 in words is "two hundred fifty-seven million, seven hundred seventy-eight thousand, nine hundred sixty".